MathPlotAI Logo MathPlotAI

Outer Common Tangent of Two Circles

Outer Common Tangent of Two Circles
Loading the math board and drawing, please wait…
2019-12-27 13:31
CircleCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction and properties of the outer common tangent line between two circles. Key math concepts include circles, tangent lines, angles, and coordinate geometry. The construction utilizes GeoGebra commands such as Circle, Midpoint, Intersect, Line, Segment, and Angle. Suitable for high school students and geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Circle(A, 5) → c
  2. Circle(B, 2) → d
  3. Midpoint(A, B) → C
  4. Circle(C, B) → e
  5. Circle(A, 3) → f
  6. Intersect(e, f, 2) → D
  7. Line(A, D) → g
  8. Line(B, D) → h
  9. Intersect(c, g, 2) → E
  10. Line(E, h) → i
  11. Line(B, g) → j
  12. Intersect(d, i, 1) → F
  13. Intersect(e, f, 1) → G
  14. Line(A, G) → k
  15. Line(B, G) → l
  16. Intersect(c, k, 2) → H
  17. Line(H, l) → m
  18. Line(B, k) → n
  19. Segment(A, E) → p
  20. Segment(B, F) → q
  21. Segment(A, B) → r
  22. Segment(E, F) → s
  23. Angle(A, E, F) → α
  24. Angle(E, F, B) → β